Heating device for windscreen-wiper blade of a vehicle, windscreen-wiper blade comprising same, and method for assembling such a windscreen-wiper blade

The heating device comprises a vertebra (4) capable of being mounted inside a longitudinal housing of a support element (3) in such a manner as to form a vertebra, said housing being open upward by a longitudinal slot (17); a heating element disposed on the vertebra-forming element (4) and connected by electrical conduction means (19) to an electrical connector (12) disposed on an upper face of the vertebra. The heating element is disposed on a face called the lower face of the vertebra-forming element (4), and the electrical conduction means (19) pass from said lower face to the upper face of the vertebra by going around it at one of the ends thereof.